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Finding the Third Proportional to 146,977,536 and 343,296,704

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Solution

The third proportional to 146,977,536 and 343,296,704 is: 801,841,085.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,977,536 : 343,296,704 = 343,296,704 : x
  2. Step 2: Convert to fraction form
    146,977,536/343,296,704 = 343,296,704/x
  3. Step 3: Cross multiply
    146,977,536x = 343,296,704 × 343,296,704
  4. Step 4: Simplify right side
    146,977,536x = 117,852,626,977,263,616
  5. Step 5: Solve for x
    x = 117,852,626,977,263,616/146,977,536
  6. Step 6: Final answer
    x = 801,841,085.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.